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Finding the Fourth Proportional to 13,663.36, 20,511.78 and 7,745.32

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Solution

The fourth proportional to 13,663.36, 20,511.78 and 7,745.32 is: 11,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.36 : 20,511.78 = 7,745.32 : x
  2. Step 2: Convert to fraction form
    13,663.36/20,511.78 = 7,745.32/x
  3. Step 3: Cross multiply
    13,663.36x = 20,511.78 × 7,745.32
  4. Step 4: Simplify right side
    13,663.36x = 158,870,299.87
  5. Step 5: Solve for x
    x = 158,870,299.87/13,663.36
  6. Step 6: Final answer
    x = 11,627.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.